Cone-volume measure and stability
Metric Geometry
2014-07-29 v1 Differential Geometry
Abstract
We show that the cone-volume measure of a convex body with centroid at the origin satisfies the subspace concentration condition. This implies, among others, a conjectured best possible inequality for the -functional of a convex body. For both results we provide stronger versions in the sense of stability inequalities.
Cite
@article{arxiv.1407.7272,
title = {Cone-volume measure and stability},
author = {Károly J. Böröczky and Martin Henk},
journal= {arXiv preprint arXiv:1407.7272},
year = {2014}
}
Comments
29 pages